If R is an integral domain with unit element, prove that any unit in R[x] must already be a unit in R.

Modern Algebra Ring Theory (XL)
Polynomial Rings over Commutative rings Integral Domain
Unit Element
Unit of a Commutative Ring

If R is an integral domain with unit element, prove that any unit in R[x] must already be a unit in R.

Solution Summary

This solution is comprised of a detailed explanation of Polynomial Rings over Commutative Rings.It contains step-by-step explanation that if R is an integral domain with unit element, then any unit in R[x] must already be a unit in R.

... Notes:- Unique Factorization Domain An integral domain R with unit... is said to be a unique factorization domain if (a) any non-zero element in R is either a ...

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